Question

From a point on the ground 40 m away from the
foot of tower, the angle of elevation of the top of
a tower is 30°. The angle of elevation of the top of
a water tank (on the top of the tower) is 45°. Find
(i) The height of the tower (ii) The depth of the tank.
​maths question

Answer 1

Explanation:

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Let the height of the tower be h.

Let the height of the tank be x.

Hence total length of the structure =h+x.

Now applying trigonometric ratios, we get

tan45

0

=

40m

h+x

=1

Hence

h+x=40m ...(i)

Also

tan30 =40

h

=

3

1

Hence

h=

3

40

3

=23.09m

Now

x=40−

3

40

=40(

3

3

−1

)

)=16.905m

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